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ECNG1014 : Digital Electronics (Semester II- 2024/2025)

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Derive the Boolean expressions for outputs M, N, O, P, Q, R, S and Y in the figure below. DO NOT MINIMIZE the expressions. DO NOT leave any blank spaces in the expression.

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You are required to develop a BCD to 7-Segment Converter. 

This system accepts a 4-bit BCD code (D3, D2, D1, D0) and sets outputs (Seg_A, Seg_B, Seg_C, Seg_D, Seg_E, Seg_F, Seg_G) HIGH or LOW depending on which segment must be illuminated to display the digit corresponding to the BCD code. 

Assume a LOGIC 0 (LOW) turns on a segment while a LOGIC 1 (HIGH) turns off the segment.

What is the

minimum sum-of-products Boolean expression for the output ‘Seg_G’?

QUIZ1_17

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You are required to develop a BCD to 7-Segment Converter. 

This system accepts a 4-bit BCD code (D3, D2, D1, D0) and sets outputs (Seg_A, Seg_B, Seg_C, Seg_D, Seg_E, Seg_F, Seg_G) HIGH or LOW depending on which segment must be illuminated to display the digit corresponding to the BCD code. 

Assume a LOGIC 0 (LOW) turns on a segment while a LOGIC 1 (HIGH) turns off the segment.

What is the

minimum sum-of-products Boolean expression for the output ‘Seg_B’?

QUIZ1_16

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What are the

prime implicants of the Karnaugh Map shown below?

QUIZ1_8

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What are the

prime implicants of the Karnaugh Map shown below?

QUIZ1_11

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What is the

minimum sum-of-products Boolean expression for the output ‘X’?

QUIZ1_3

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A particular digital

system called an “odd/even number checker” takes a 4-bit number ‘A’ from the

range 1 - 10, analyzes it and indicated using two 1-bit ports whether the

number was an odd or even number.  The

two 1-bit ports are labelled ‘O’ and ‘E’. This represents Odd and Even. If a

number is analyzed and is found to be odd then ‘O’ is set to logic 1 while ‘E’

is set logic 0. On the other hand if a number is analyzed and is found to be

even then ‘O’ is set to logic 0 while ‘E’ is set logic 1.

What is the minimum sum-of-products expression for output ‘E’?

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You are required to develop a BCD to 7-Segment Converter. 

This system accepts a 4-bit BCD code (D3, D2, D1, D0) and sets outputs (Seg_A, Seg_B, Seg_C, Seg_D, Seg_E, Seg_F, Seg_G) HIGH or LOW depending on which segment must be illuminated to display the digit corresponding to the BCD code. 

Assume a LOGIC 0 (LOW) turns on a segment while a LOGIC 1 (HIGH) turns off the segment.

What is the

minimum sum-of-products Boolean expression for the output ‘Seg_G’?

QUIZ1_17

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A particular digital

system called an “odd/even number checker” takes a 4-bit number ‘A’ from the

range 1 - 10, analyzes it and indicated using two 1-bit ports whether the

number was an odd or even number.  The

two 1-bit ports are labelled ‘O’ and ‘E’. This represents Odd and Even. If a

number is analyzed and is found to be odd then ‘O’ is set to logic 1 while ‘E’

is set logic 0. On the other hand if a number is analyzed and is found to be

even then ‘O’ is set to logic 0 while ‘E’ is set logic 1.

What is the minimum sum-of-products expression for output ‘O’?

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What is the

minimum product-of-sum Boolean expression for the output ‘X’?

QUIZ1_5

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